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EzraThe equation x^2-x-k=0 is the equation of a parabola. Let k=0 for example and we have x^2-x=0 or x(x-1)=0 This is a parabola with x intercepts at 0 and 1. The y intercept is 0 as well. Look at x^2-x-1=0 This does not factor over the integers but it does factor over the real numbers as (2x+Squareroot(5)-1)(2x-Squareroot(5)-1) so let each quantity in the product equal 0 and find the x intercepts of the parabola. In general ax^2+bx+c=0 is a quadratic equation if a is not 0. The graph of this equation is a parabola as can be easily proved. The quadratic you gave is a special case of this where b=-1 and c=-k
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Is 3x4 plus 2x plus 5 equals 0 a quadratic equation?
No. It is a quartic equation. The largest power of x in a quadratic equation must be 2.
Can you solve 3x2-x equals -1?
Set the equation equal to zero. 3x2 - x = -1 3x2 - x + 1 = 0 The equation is quadratic, but can not be factored. Use the quadratic equation.
Is 4x plus 5c plus 10c-3x equals 0a quadratic equation?
NO,because in quadratic equation highest power of a variable is 2. e.x. 4x2-20x+10=0.
Why can't an equal 0 in a quadratic equation?
a is the coefficient of the x2 term. If is a = 0, then it is no longer a quadratic - it is just a linear equation, and the quadratic formula will not work to solve it.
Solve this quadratic equation x2 plus 5x plus 3 equals 0?
I suggest you use the quadratic formula. In this case, a = 1, b = 5, c = 3.
